qiskit.circuit.library.MCXRecursive
class MCXRecursive(num_ctrl_qubits=None, label=None, ctrl_state=None)
Implement the multi-controlled X gate using recursion.
Using a single ancilla qubit, the multi-controlled X gate is recursively split onto four sub-registers. This is done until we reach the 3- or 4-controlled X gate since for these we have a concrete implementation that do not require ancillas.
Create new MCX gate.
__init__
__init__(num_ctrl_qubits, label=None, ctrl_state=None)
Create new MCX gate.
Methods
__init__ (num_ctrl_qubits[, label, ctrl_state]) | Create new MCX gate. |
add_decomposition (decomposition) | Add a decomposition of the instruction to the SessionEquivalenceLibrary. |
assemble () | Assemble a QasmQobjInstruction |
broadcast_arguments (qargs, cargs) | Validation and handling of the arguments and its relationship. |
c_if (classical, val) | Add classical condition on register classical and value val. |
control ([num_ctrl_qubits, label, ctrl_state]) | Return a multi-controlled-X gate with more control lines. |
copy ([name]) | Copy of the instruction. |
get_num_ancilla_qubits (num_ctrl_qubits[, mode]) | Get the number of required ancilla qubits. |
inverse () | Invert this gate. |
is_parameterized () | Return True .IFF. |
mirror () | DEPRECATED: use instruction.reverse_ops(). |
power (exponent) | Creates a unitary gate as gate^exponent. |
qasm () | Return a default OpenQASM string for the instruction. |
repeat (n) | Creates an instruction with gate repeated n amount of times. |
reverse_ops () | For a composite instruction, reverse the order of sub-instructions. |
to_matrix () | Return a Numpy.array for the gate unitary matrix. |
validate_parameter (parameter) | Gate parameters should be int, float, or ParameterExpression |
Attributes
ctrl_state | Return the control state of the gate as a decimal integer. |
decompositions | Get the decompositions of the instruction from the SessionEquivalenceLibrary. |
definition | Return definition in terms of other basic gates. |
duration | Get the duration. |
label | Return gate label |
num_ancilla_qubits | The number of ancilla qubits. |
num_ctrl_qubits | Get number of control qubits. |
params | Get parameters from base_gate. |
unit | Get the time unit of duration. |
add_decomposition
add_decomposition(decomposition)
Add a decomposition of the instruction to the SessionEquivalenceLibrary.
assemble
assemble()
Assemble a QasmQobjInstruction
Return type
Instruction
broadcast_arguments
broadcast_arguments(qargs, cargs)
Validation and handling of the arguments and its relationship.
For example, cx([q[0],q[1]], q[2])
means cx(q[0], q[2]); cx(q[1], q[2])
. This method yields the arguments in the right grouping. In the given example:
in: [[q[0],q[1]], q[2]],[]
outs: [q[0], q[2]], []
[q[1], q[2]], []
The general broadcasting rules are:
If len(qargs) == 1:
[q[0], q[1]] -> [q[0]],[q[1]]
If len(qargs) == 2:
[[q[0], q[1]], [r[0], r[1]]] -> [q[0], r[0]], [q[1], r[1]] [[q[0]], [r[0], r[1]]] -> [q[0], r[0]], [q[0], r[1]] [[q[0], q[1]], [r[0]]] -> [q[0], r[0]], [q[1], r[0]]
If len(qargs) >= 3:
[q[0], q[1]], [r[0], r[1]], ...] -> [q[0], r[0], ...], [q[1], r[1], ...]
Parameters
- qargs (
List
) – List of quantum bit arguments. - cargs (
List
) – List of classical bit arguments.
Return type
Tuple
[List
, List
]
Returns
A tuple with single arguments.
Raises
CircuitError – If the input is not valid. For example, the number of arguments does not match the gate expectation.
c_if
c_if(classical, val)
Add classical condition on register classical and value val.
control
control(num_ctrl_qubits=1, label=None, ctrl_state=None)
Return a multi-controlled-X gate with more control lines.
Parameters
- num_ctrl_qubits (int) – number of control qubits.
- label (str or None) – An optional label for the gate [Default: None]
- ctrl_state (int or str or None) – control state expressed as integer, string (e.g. ‘110’), or None. If None, use all 1s.
Returns
controlled version of this gate.
Return type
copy
copy(name=None)
Copy of the instruction.
Parameters
name (str) – name to be given to the copied circuit, if None then the name stays the same.
Returns
a copy of the current instruction, with the name
updated if it was provided
Return type
ctrl_state
Return the control state of the gate as a decimal integer.
Return type
int
decompositions
Get the decompositions of the instruction from the SessionEquivalenceLibrary.
definition
Return definition in terms of other basic gates. If the gate has open controls, as determined from self.ctrl_state, the returned definition is conjugated with X without changing the internal _definition.
Return type
List
duration
Get the duration.
get_num_ancilla_qubits
static get_num_ancilla_qubits(num_ctrl_qubits, mode='recursion')
Get the number of required ancilla qubits.
inverse
inverse()
Invert this gate. The MCX is its own inverse.
is_parameterized
is_parameterized()
Return True .IFF. instruction is parameterized else False
label
Return gate label
Return type
str
mirror
mirror()
DEPRECATED: use instruction.reverse_ops().
Returns
a new instruction with sub-instructions
reversed.
Return type
num_ancilla_qubits
The number of ancilla qubits.
num_ctrl_qubits
Get number of control qubits.
Returns
The number of control qubits for the gate.
Return type
int
params
Get parameters from base_gate.
Returns
List of gate parameters.
Return type
list
Raises
CircuitError – Controlled gate does not define a base gate
power
power(exponent)
Creates a unitary gate as gate^exponent.
Parameters
exponent (float) – Gate^exponent
Returns
To which to_matrix is self.to_matrix^exponent.
Return type
Raises
CircuitError – If Gate is not unitary
qasm
qasm()
Return a default OpenQASM string for the instruction.
Derived instructions may override this to print in a different format (e.g. measure q[0] -> c[0];).
repeat
repeat(n)
Creates an instruction with gate repeated n amount of times.
Parameters
n (int) – Number of times to repeat the instruction
Returns
Containing the definition.
Return type
Raises
CircuitError – If n < 1.
reverse_ops
reverse_ops()
For a composite instruction, reverse the order of sub-instructions.
This is done by recursively reversing all sub-instructions. It does not invert any gate.
Returns
a new instruction with
sub-instructions reversed.
Return type
to_matrix
to_matrix()
Return a Numpy.array for the gate unitary matrix.
Raises
CircuitError – If a Gate subclass does not implement this method an exception will be raised when this base class method is called.
Return type
ndarray
unit
Get the time unit of duration.
validate_parameter
validate_parameter(parameter)
Gate parameters should be int, float, or ParameterExpression